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Finding the Fourth Proportional to 123,524.50, 185,534.70 and 73,701.82

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Solution

The fourth proportional to 123,524.50, 185,534.70 and 73,701.82 is: 110,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,524.50 : 185,534.70 = 73,701.82 : x
  2. Step 2: Convert to fraction form
    123,524.50/185,534.70 = 73,701.82/x
  3. Step 3: Cross multiply
    123,524.50x = 185,534.70 × 73,701.82
  4. Step 4: Simplify right side
    123,524.50x = 13,674,245,063.15
  5. Step 5: Solve for x
    x = 13,674,245,063.15/123,524.50
  6. Step 6: Final answer
    x = 110,700.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.